Question:medium
If \( 0 \leq a, b \leq 3 \) and the equation \( x^2 + 4 + 3\cos(ax + b) = 2x \) has real solutions, then the value of \( (a + b) \) is:
If \( 0 \leq a, b \leq 3 \) and the equation \( x^2 + 4 + 3\cos(ax + b) = 2x \) has real solutions, then the value of \( (a + b) \) is:
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Consider the ranges of the functions on both sides of the equation to find the conditions for real solutions.
Updated On: Nov 28, 2025
- \( \frac{\pi}{4} \)
- \( \frac{\pi}{2} \)
- \( \pi \)
- \( 2\pi \)
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